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Simplifying (x + -2)(x + 1) + (x + -2)(x + 2) = 0 Reorder the terms: (-2 + x)(x + 1) + (x + -2)(x + 2) = 0 Reorder the terms: (-2 + x)(1 + x) + (x + -2)(x + 2) = 0 Multiply (-2 + x) * (1 + x) (-2(1 + x) + x(1 + x)) + (x + -2)(x + 2) = 0 ((1 * -2 + x * -2) + x(1 + x)) + (x + -2)(x + 2) = 0 ((-2 + -2x) + x(1 + x)) + (x + -2)(x + 2) = 0 (-2 + -2x + (1 * x + x * x)) + (x + -2)(x + 2) = 0 (-2 + -2x + (1x + x2)) + (x + -2)(x + 2) = 0 Combine like terms: -2x + 1x = -1x (-2 + -1x + x2) + (x + -2)(x + 2) = 0 Reorder the terms: -2 + -1x + x2 + (-2 + x)(x + 2) = 0 Reorder the terms: -2 + -1x + x2 + (-2 + x)(2 + x) = 0 Multiply (-2 + x) * (2 + x) -2 + -1x + x2 + (-2(2 + x) + x(2 + x)) = 0 -2 + -1x + x2 + ((2 * -2 + x * -2) + x(2 + x)) = 0 -2 + -1x + x2 + ((-4 + -2x) + x(2 + x)) = 0 -2 + -1x + x2 + (-4 + -2x + (2 * x + x * x)) = 0 -2 + -1x + x2 + (-4 + -2x + (2x + x2)) = 0 Combine like terms: -2x + 2x = 0 -2 + -1x + x2 + (-4 + 0 + x2) = 0 -2 + -1x + x2 + (-4 + x2) = 0 Reorder the terms: -2 + -4 + -1x + x2 + x2 = 0 Combine like terms: -2 + -4 = -6 -6 + -1x + x2 + x2 = 0 Combine like terms: x2 + x2 = 2x2 -6 + -1x + 2x2 = 0 Solving -6 + -1x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -2x)(2 + -1x) = 0Subproblem 1
Set the factor '(-3 + -2x)' equal to zero and attempt to solve: Simplifying -3 + -2x = 0 Solving -3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 0 + 3 -2x = 0 + 3 Combine like terms: 0 + 3 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-1.5, 2}
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